18316960 has 48 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 7280896.

The previous prime is 18316957. The next prime is 18316979. The reversal of 18316960 is 6961381.

18316960 = T₁ + T₂ + ... + T₄₇₈.

18316960 is a nontrivial binomial coefficient, being equal to C(480, 3).

It is a super-2 number, since 2×18316960² = 671022047283200, which contains 22 as substring.

It is an unprimeable number.

It is the 478-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38001 + ... + 38479.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^18316960 is an apocalyptic number.

18316960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18316960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

18316960 is an abundant number, since it is smaller than the sum of its proper divisors (25228640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18316960 is a wasteful number, since it uses less digits than its factorization.

18316960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 18316960 is about 4279.8317723948. The cubic root of 18316960 is about 263.6034757375.

The spelling of 18316960 in words is "eighteen million, three hundred sixteen thousand, nine hundred sixty".